[PDF] Top 20 A parametric iteration method for solving Lane-Emden type equations

... analytical method called the parametric iteration method (PIM) is presented for solving the second-order singular IVPs of Lane-Emden type, and its local convergence ... See full document

... numerical method involving colloca- tion method with third B-splines as basis functions for solving a class of singular initial value problems (IVPs) of Lane–Emden type ...The ... See full document

... for solving nonlinear differential equationds of Lane-Emden type, ...the Lane-Emden equation and comparison with the homotopy perturbation method, ... See full document

... by Lane, Ritter, Kelvin, Emden and Fowler ...in solving the Lane-Emden equations include the Adomian decomposition method [5, 6], differential transformation method ... See full document

... and Emden–Fowler equation. The Adomian decomposition method (ADM) was pre- sented by Wazwaz [5–7]; the variational iteration method (VIM) was investigated in [8– ...of Lane–Emden ... See full document

... Decomposition Method (LDM) for solving non linear singular second order initial value ...The method is used to obtain the exact solutions of the nonlinear singular initial value ...the method ... See full document

... differential equations with the unsupervised method.[14] The general method for solving differential equa- tions with unsupervised feed-forward neural net- works was first introduced by Van ... See full document

... accurate method for solving the Lane-Emden equations as singular initial value ...integration method are used to reduce the problem to the solution of nonlinear algebraic ... See full document

... Decomposition Method (ADM) and perturba- tion techniques and mostly convergent in restricted regions so another approach such as Pade’s method was required to expand these regions [1] [3] ...Picard ... See full document

... the Lane-Emden problem, as well as other various linear and nonlinear singular initial value problems in quantum mechanics and astrophysics, is numerically challenging because of the singularity be- havior ... See full document

... this type of nonlinear ordinary differential equations, specifi- cally on Lane-Emden type equations such as the Adomian Decomposition Method (ADM) [5], the Homotopy ... See full document

... transformation method (DTM) is a reliable method applied by providing new theorems to develop exact and approximate solutions of Lane-Emden type equations with exponential and ... See full document

... differential equations has not yet been ...standard method for problems regarding fractional calculus has not ...ries method [], the differential transform [] and [], the homotopy analysis ... See full document

... differential equations themselves; any solutions that obey physical boundary conditions will have to remain close to these solutions and they will be forced to oscillate about them if the boundary conditions will ... See full document

... variational iteration method and deform it to fixed point iteration ...mentioned method in Section 3 is used to seek an approximate solution of chemical ... See full document

... and engineering. There are many techniques available in different books that can be used to solve these types of differential equations. The main task of the present work is to introduce a new technique, known as ... See full document

... Abstract— Reduced differential transform method (RDTM), which does not need small parameter in the equation is implemented for solving the sine-Gordon equation. The approximate analytical solution of the ... See full document

... Omolbanin Sedaghatfar was born in the Tehran, Shahr-e-rey in 1982. She received B.Sc and M.Sc de- gree in applied mathematics from Zahedan Branch, Tehran - Science and Research Branch, IAU , re- spectively, and her Ph.D ... See full document

... The structure of this paper is organized as follows. In section 2, we begin with some basic definitions and the use of the proposed method. In section 3, we apply the reduced differential transform method ... See full document

... [r] ... See full document